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Finding the Fourth Proportional to 1,009.63, 1,513.95 and 489.67

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Solution

The fourth proportional to 1,009.63, 1,513.95 and 489.67 is: 734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.63 : 1,513.95 = 489.67 : x
  2. Step 2: Convert to fraction form
    1,009.63/1,513.95 = 489.67/x
  3. Step 3: Cross multiply
    1,009.63x = 1,513.95 × 489.67
  4. Step 4: Simplify right side
    1,009.63x = 741,335.90
  5. Step 5: Solve for x
    x = 741,335.90/1,009.63
  6. Step 6: Final answer
    x = 734.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.